Addition and Subtraction of like Terms

Q. A number consists of two digits.the digits at the ones place is 3 times the digit at the tens place.if 36 is added to the number the digits are reversed. Find the number.

Q.

What should be subtracted from $2a+8b+10$ to get $-3a+7b+16$?

Q.

Add $3x+11$ and $7x-5$.

Q. A number consists of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.

Q.

Which of the following is the $1\mathrm{s}$ complement of $10$?

1. $10$

2. $01$

3. $11$

4. $00$

Q.

Add : $5m-7n,3n-4m+2,2m-3mn-5$

Q.

Question 56 (b)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$x^4+3x^{3}y+3x^2{y}^2-3x^{3}y-3x{y}^2+y^4-3x^2{y}^2$

Q.

Question 2 (viii)

Add:

$3p^2{q}^2-4pq+5,-10p^2{q}^2,15+9pq+7p^2{q}^2$

Q.

Question 56 (a)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$3x^{2}y{z}^2-3x{y}^{2}z+x^{2}y{z}^2+7x{y}^{2}z$

Q.

Question 56 (e)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$50x^3-21x+107+41x^3-x+1-93+71x-31x^3$

Q.

Question 56 (d)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a

Q. Add $2x^2-3x+1$ to the sum of $3x^2-2x$ and $3x+7$.

Q. The sum of two polynomials is $3x^2+2xy-y^2$. Determine the other polynomial if one of them is $2x^2+3y^2$.

Q. Find the simplified form of the following

$a)\frac{(x^{a+b}{)}^3.(x^{b+c}{)}^3.(x^{c+a}{)}^3}{(x^a.x^b.x^c{)}^6}$

$b\left)\right(\frac{x^{2-3n}.x^{4+3n}}{x^3}{)}^2$ [4 MARKS]

Q.

What will be the remainder when (73⁷³+73) is divided by 74

Q. Simplify the following algebraic expression
$9x^2+6xyz+3x-24x^2+6x$.

1. $15x^2-6xyz-9x$
2. $-15x^2+6xyz+3x$
3. $7x^2-6xyz+3x$
4. $-15x^2+6xyz+9x$

Q. Frame an equation for the statement " 7 times a number is 21".

1. 7 + x = 21
2. 7x = 21
3. 21x = 7
4. x - 7 = 21

Q.

Question 56 (c)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$p^3{q}^{2}r+p{q}^2{r}^3+3p^{2}q{r}^2-9p^{2}q{r}^2$

Q.

If the price of cooking gas increase by 36%by what percentage should a family decrease its consumption of cooking gas so that expenditure on cooking gas remains same as earlier

Q.

In the equation $4\left(2x\right)=60-12x$, the value of $x=$ .

1. 5
2. 3
3. 4

Q.

Tina noticed juicy oranges in a shop and asked the shopkeeper for the price. He said each costs Rs x. She bought 3 of them. What is the coefficient of x after calculating the total amount spent by Tina and her friend Rina, if Rina had already spent Rs (6x + 4y)?
___

Q.

Add the terms: $5xy,-7xyand3x^2$

Q.

If we subtract $-4x^{2}y$ from $2x^{2}y$ we get:

1. $6x^2{y}^2$

2. $6x^{2}y$

3. $-6x^{2}y$

4. $-6x{y}^2$

Q. 6xy - 4yx - 2xy equals

1. - 2xy
2. \N
3. 12xy
4. 2

Q.

Add.$a-2b+3c,3b-5c,2a+c$

Q.

Subtract:

$\text{-7xy from 6xy}$

Q.

Classify the following into monomial, binomial and trinomials.

(1) a² + a − 2

(2) x² + 2y²

(3) 3x² + 4y + 5z

(4) ax² + bx + c

(5) x − 5

(6) 8mn³

(7) a² − b

(8)

(9) 7k + l

(10) 12ab

Q. What is the sum of $x^3+4xy+3y^2$ and $3x^2+5xy$ ?

1. $x^3+4xy+3y^2{x}^2+5xy$
2. $x^3+9xy+3y^2+3x^2$
3. $3x^3+9xy+3y^2$
4. None of the above

Q.

Add the terms: $7xy$, $2xy$, $-8xy$.

Q. Sum of two digits of two digits is 8. The digit in tens place is thrice the digit in unit place. Find the number.